We prove that the complement of a toric arrangement has the homotopy type of a minimal CW-complex. As a corollary we deduce that the integer cohomology of these spaces is torsionfree.
We apply discrete Morse theory to the toric Salvetti complex, providing a sequence of cellular collapses that leads to a minimal complex.
Cite this article
Giacomo d'Antonio, Emanuele Delucchi, Minimality of toric arrangements. J. Eur. Math. Soc. 17 (2015), no. 3, pp. 483–521DOI 10.4171/JEMS/508